PEM fuel cell fractional order modeling and identification

Abstract This paper deals with the modeling and identification of a fuel cell system using two models. It presents a comparative study between a conventional impedance model based on an equivalent electrical circuit and a fractional order model of fuel cell. In the first case, a least square method is used to identify the parameters of the model. While the second case considers a fractional order model and proposes a parameter identification approach based on the least square method adapted to fractional order models. By using these two models, this study aims to characterize the fuel cell impedance and identify the model's parameters in the objective of establishing a diagnosis method of the flooding state of the fuel cell. Experimental results, obtained from measurements made using a single PEM fuel cell, show that fractional order impedance models describe the real system behavior better than the impedance models of integer order. The goal of this work is to develop models and identification methods in view of implementing a diagnosis methodology of the fuel cell internal state in order to apply this technology to automotive sector.

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